A197699 - OEIS

%I #10 Oct 01 2022 00:52:29

%S 3,4,3,6,5,9,2,2,5,7,6,4,7,9,3,5,8,5,8,8,3,1,8,6,3,7,4,8,9,3,5,7,2,7,

%T 9,1,8,3,2,7,8,4,6,7,7,6,5,0,2,2,4,8,1,6,7,3,0,3,6,1,0,1,4,6,5,3,9,6,

%U 5,5,4,2,7,9,7,9,3,0,7,3,7,0,5,9,0,8,8,7,0,3,4,1,7,9,0,1,5,5,4

%N Decimal expansion of Pi/(6 + Pi).

%C Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=3 and c=Pi/2; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%e 0.3436592257647935858831863748935727918327846776...

%t b = 3; c = Pi/2;

%t t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .34, .35}]

%t N[Pi/(2*b + 2*c), 110]

%t RealDigits[%]  (* A197699 *)

%t Simplify[Pi/(2*b + 2*c)]

%t Plot[{Sin[b*x], Cos[c*x]}, {x, 0, 1.5}]

%Y Cf. A197682.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 17 2011